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10103472000 = 27325370163
BaseRepresentation
bin10010110100011011…
…01011111110000000
3222002010110120000200
421122031223332000
5131142442101000
64350320245200
7505242044406
oct113215537600
928063416020
1010103472000
114315168066
121b5b770800
13c502783cb
146bbbb9476
153e1eeb500
hex25a36bf80

10103472000 has 192 divisors, whose sum is σ = 36284610960. Its totient is φ = 2694220800.

The previous prime is 10103471999. The next prime is 10103472017. The reversal of 10103472000 is 27430101.

10103472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108919 + ... + 179081.

Almost surely, 210103472000 is an apocalyptic number.

10103472000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142305480).

10103472000 is an abundant number, since it is smaller than the sum of its proper divisors (26181138960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10103472000 is an equidigital number, since it uses as much as digits as its factorization.

10103472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70198 (or 70173 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 10103472000 in words is "ten billion, one hundred three million, four hundred seventy-two thousand".